\newproblem{lay:4_3_8}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 4.3.8}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
	Determine whether the set $B=\{(1,-2,3),(0,3,-1),(2,-1,5),(0,0,-1)\}$ is a basis or not for $\mathbb{R}^3$. If it is not,
	determine if it is linearly independent.
}{
  % Solution
	The set $B$ cannot be linearly independent because in $\mathbb{R}^3$ there can be at most 3 linearly independent vectors.
}
\useproblem{lay:4_3_8}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
